“I am not a fan of governing by tweet. I’m just not, and I know that we’re in a different world now and we communicate differently, but in my view there is a seriousness and a professionalism that comes with the executive," she told the Ketchikan Daily News in an interview published Saturday.

Murkowski added while she and Trump disagree on social media, and the president "is able to capture people's attention," some of the "inflammatory rhetoric and the name calling I don’t think is constructive.”

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Trump has stepped up his war of words with the isolated Asian country, including mocking leader Kim Jong Un as "Little Rocket Man," and warning that the regime “won’t be around much longer” if it continues threats against the U.S.

She added to the Daily News that she is "worried" that the Republican Party is becoming too exclusive.

“Well, I am (worried) in the sense that, as a party, I believe we have always been kind of broader and more inclusive of differing views across the spectrum,” Murkowski said. "We seem to be more fractured within our party now than in the big-tent Ronald Reagan days."